I saw another article on FB today of another therapy horse group with Shetlands going to homes and pulling the residents up and down the corridors like Ben Hurr.
It looked quite fast, in a normal wheelchair, avoiding things in a tight space. I did wonder how they did it, the pony looked to be attached to the wheelchair, or at least wearing a harness. I think it may have been just trotting alongside.
That said, when I am older, I would LOVE a chariot race down the corridor!